Development of empirical equations between uniaxial compressive strength and Brazilian tensile strength for various rocks: A review study

Authors

1 Associate Professor of Engineering Geology, Faculty of Basic Sciences, Lorestan University, Khorramabad, Islamic Republic of Iran

2 Assistant Professor of Engineering Geology, Institute of Innovation, Science and Sustainability, Federation University, Ballarat 3350, VIC, Australia

Abstract

The uniaxial compressive strength of rocks is a critical parameter in the design of various geotechnical structures such as road trenches, dams, tunnels, and power plants. In the preliminary steps of site investigation of a geotechnical structure, indirect methods are usually used to evaluate the uniaxial compressive strength of rocks. Brazilian tensile strength is one of the indirect methods to predict the uniaxial compressive strength through the empirical equations. In the present paper, a comprehensive database has been created by collecting more than 1803 data related to all types of rocks, including igneous, sedimentary, and metamorphic. Based on the collected data, empirical equations were developed to predict the uniaxial compressive strength from Brazilian tensile strength. In the following, the accuracy of empirical equations for all types of rocks were investigated and compared using the statistical indices of correlation coefficient (R) and variance accounted for (VAF). The findings indicate that the predictive equations of the uniaxial compressive strength for igneous rocks have the highest accuracy, and sedimentary and metamorphic rocks are in the next ranks, respectively. As a function of rock type, some empirical equations have high accuracies, while others have moderate accuracies in predicting the uniaxial compressive strength. The empirical equations developed in the present study can be used as a comprehensive database for the experts and executive engineers of geotechnical structures. This will lead to the reduction of time and cost for evaluating the uniaxial compressive strength in the preliminary steps of the site investigation of a geotechnical structure.

Keywords



Articles in Press, Accepted Manuscript
Available Online from 29 December 2024
  • Receive Date: 07 September 2024
  • Revise Date: 13 November 2024
  • Accept Date: 29 December 2024